At what point is it statistically better to take Tavern Brawler over an increase to Str or Dex if 1/3 of all your attacks are made with an improvised weapon?
Example: A Thief rogue 4/Champion fighter 5, with 16 Dex.
You make two attacks a turn with the Attack action, and one (throwing an acid vial) with the Fast Hands thief feature:
Two attacks with dagger: +7 to hit 1d4+3 (6)
If one of daggers hit assume sneak attack applies 2d6 (8)
One attack with an acid vial: +3 to hit 2d6+3 (11)
Statistically, would it be better to take Tavern Brawler for all 3 attacks to be at +7 to hit?
Or should I put the ASI into Dex for two +8 to hit and +4 to hit?